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Finding the Fourth Proportional to 290,413,643.80, 435,620,465.70 and 137,358,635.80

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Solution

The fourth proportional to 290,413,643.80, 435,620,465.70 and 137,358,635.80 is: 206,037,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413,643.80 : 435,620,465.70 = 137,358,635.80 : x
  2. Step 2: Convert to fraction form
    290,413,643.80/435,620,465.70 = 137,358,635.80/x
  3. Step 3: Cross multiply
    290,413,643.80x = 435,620,465.70 × 137,358,635.80
  4. Step 4: Simplify right side
    290,413,643.80x = 59,836,232,895,112,696
  5. Step 5: Solve for x
    x = 59,836,232,895,112,696/290,413,643.80
  6. Step 6: Final answer
    x = 206,037,953.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.